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人気のある微分積分 >

(\partial)/(\partial y)(ln(yz))

解

\frac{\partial}{\partial y} (ln (yz))

解

\frac{1}{y}

解答ステップ

\frac{\partial}{\partial y} (ln (yz))

z

を定数として扱う

連鎖法則を適用:

\frac{1}{yz} \frac{\partial}{\partial y} (yz)

= \frac{1}{yz} \frac{\partial}{\partial y} (yz)

\frac{\partial}{\partial y} (yz) = z

= \frac{1}{yz} z

簡素化

\frac{1}{yz} z : \frac{1}{y}

= \frac{1}{y}

人気の例

integral of 1/(x-y)

\int \frac{1}{x - y} d x

integral from-1 to 1 of (13-12u)^{-1}

\int_{- 1}^{1} (13 - 12 u)^{- 1} d u

limit as x approaches-3 of 4

x \to - 3 lim (4)

(\partial)/(\partial x)(x^4+3^y+x^y)

\frac{\partial}{\partial x} (x^{4} + 3^{y} + x^{y})

limit as h approaches 0 of 3x^2-2xh+5h

h \to 0 lim (3 x^{2} - 2 x h + 5 h)